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Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming
Song, Ruizhuo1; Wei, Qinglai2; Sun, Qiuye3; Qinglai Wei
Source PublicationNEUROCOMPUTING
2015-05-25
Volume156Issue:xPages:166-175
SubtypeArticle
AbstractIn this paper, a novel adaptive dynamic programming (ADP) algorithm is developed to solve the nearly optimal finite-horizon control problem for a class of deterministic nonaffine nonlinear time-delay systems. The idea is to use ADP technique to obtain the nearly optimal control which makes the optimal performance index function close to the greatest lower bound of all performance index functions within finite time. The proposed algorithm contains two cases with respective different initial iterations. In the first case, there exists control policy which makes arbitrary state of the system reach to zero in one time step. In the second case, there exists a control sequence which makes the system reach to zero in multiple time steps. The state updating is used to determine the optimal state. Convergence analysis of the performance index function is given. Furthermore, the relationship between the iteration steps and the length of the control sequence is presented. Two neural networks are used to approximate the performance index function and compute the optimal control policy for facilitating the implementation of ADP iteration algorithm. At last, two examples are used to demonstrate the effectiveness of the proposed ADP iteration algorithm. (C) 2014 Elsevier B.V. All rights reserved.
KeywordAdaptive Dynamic Programming Approximate Dynamic Programming Adaptive Critic Designs Nonlinear Systems Optimal Control Time-delay
WOS HeadingsScience & Technology ; Technology
WOS KeywordMULTIOBJECTIVE OPTIMAL-CONTROL ; MULTIPLE DELAYS ; LINEAR-SYSTEMS ; CONTROLLABILITY ; ALGORITHM
Indexed BySCI
Language英语
WOS Research AreaComputer Science
WOS SubjectComputer Science, Artificial Intelligence
WOS IDWOS:000351978100020
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/8124
Collection复杂系统管理与控制国家重点实验室_平行控制
Corresponding AuthorQinglai Wei
Affiliation1.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
2.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
3.Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China
Recommended Citation
GB/T 7714
Song, Ruizhuo,Wei, Qinglai,Sun, Qiuye,et al. Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming[J]. NEUROCOMPUTING,2015,156(x):166-175.
APA Song, Ruizhuo,Wei, Qinglai,Sun, Qiuye,&Qinglai Wei.(2015).Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming.NEUROCOMPUTING,156(x),166-175.
MLA Song, Ruizhuo,et al."Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming".NEUROCOMPUTING 156.x(2015):166-175.
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